Small rhombic tesseractihexadecachoron
(Redirected from Sirth)
| Small rhombic tesseractihexadecachoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Sirth |
| Elements | |
| Cells | 24 cubes, 16 cubohemioctahedra, 8 truncated octahedra |
| Faces | 48+96 squares, 64 hexagons |
| Edges | 96+192 |
| Vertices | 96 |
| Vertex figure | Butterfly wedge, edge lengths √2 (bases and sides of outer triangles) and √3 (sides of inner triangles) |
| Measures (edge length 1) | |
| Circumradius | |
| Dichoral angles | Cho–4–cube: 135° |
| Cho–6–toe: 60° | |
| Toe–4–cube: 45° | |
| Related polytopes | |
| Army | Rico |
| Regiment | Rico |
| Conjugate | None |
| Convex core | Tesseract |
| Abstract & topological properties | |
| Flag count | 3840 |
| Euler characteristic | –32 |
| Orientable | No |
| Properties | |
| Symmetry | B4, order 384 |
| Convex | No |
| Nature | Tame |
The small rhombic tesseractihexadecachoron, or sirth, is a nonconvex uniform polychoron that consists of 8 truncated octahedra, 16 cubohemioctahedra, and 24 cubes. 2 of each type of cell join at each vertex.
Vertex coordinates[edit | edit source]
The vertices are the same as those of the regiment colonel, the rectified icositetrachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 6: Sphenoverts" (#148).